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Finding the Third Proportional to 68,961 and 105,448.50

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Solution

The third proportional to 68,961 and 105,448.50 is: 161,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,961 : 105,448.50 = 105,448.50 : x
  2. Step 2: Convert to fraction form
    68,961/105,448.50 = 105,448.50/x
  3. Step 3: Cross multiply
    68,961x = 105,448.50 × 105,448.50
  4. Step 4: Simplify right side
    68,961x = 11,119,386,152.25
  5. Step 5: Solve for x
    x = 11,119,386,152.25/68,961
  6. Step 6: Final answer
    x = 161,241.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.